{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "64240d14-4b24-477f-8c07-a50adb22edf1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-0.53794547 -1.21275703 -0.5543891  -1.23803682  0.65297412  0.57474821\n",
      "  0.70048459  1.16913427  0.3464459  -0.73342194 -2.08180349  0.60323196\n",
      " -0.54925432 -0.4183013   0.07408505 -1.14265052  0.82465056 -0.19647411\n",
      "  0.08229512  1.97464143 -0.43307421  1.35368704 -0.52921267 -0.56048144\n",
      " -0.32193867 -0.20451553  0.61531247  0.05650389 -0.15030464  1.56043177\n",
      " -0.57954018  0.94071691 -0.71145984 -0.39593317  0.7652807  -2.33146432\n",
      " -1.26812578 -0.47535684  1.41518361  0.89309639  1.83725326 -0.30303252\n",
      " -1.04725913  0.04079097  0.35295182 -0.21951139 -1.14882926  0.32527774\n",
      " -0.7619733   0.4552205  -0.39646377  0.11927319 -1.5311592  -0.17766982\n",
      " -1.10927362 -0.6917935  -0.99137412 -2.47643549  1.13510142  0.50860606\n",
      "  0.98989511 -0.17558559  0.32974484 -0.4624367  -1.52582382  0.16453048\n",
      "  0.17148677  1.46783646 -1.42962305 -0.98012587 -1.33604871  1.37463882\n",
      " -2.09599245  0.15943238 -0.55439446  0.90187772 -1.02908517  1.93511217\n",
      " -1.85211137 -0.79643708  0.63591537  1.15178083 -1.16041877  2.36102533\n",
      " -0.55098788  1.56571862  1.36447789 -1.32128115  1.01681636 -1.19012181\n",
      " -1.12885932 -0.82010917 -0.37676332 -0.07195796 -1.69194779 -0.99695444\n",
      "  0.06762095 -0.50620179  0.43419257  1.0559021 ]\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "# 生成一个包含100个随机数的正态分布数据集\n",
    "data = np.random.normal(loc=0, scale=1, size=100)\n",
    "print(data);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "6d4c5603-7bcf-4e14-8565-1b67a60ec688",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "均值: -0.1300910047316395\n",
      "中位数: -0.21201346240035657\n",
      "标准差: 1.0307238211345706\n",
      "方差: 1.0623915954542504\n",
      "总和: -13.00910047316395\n",
      "最小值: -2.4764354879890025\n",
      "最大值: 2.3610253298245523\n"
     ]
    }
   ],
   "source": [
    "# 计算并打印基本统计数据\n",
    "print(\"均值:\", np.mean(data))\n",
    "print(\"中位数:\", np.median(data))\n",
    "print(\"标准差:\", np.std(data))\n",
    "print(\"方差:\", np.var(data))\n",
    "print(\"总和:\", np.sum(data))\n",
    "print(\"最小值:\", np.min(data))\n",
    "print(\"最大值:\", np.max(data))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "68bac7fa-6416-437c-854d-831656e146b5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "均值: 3.0\n",
      "中位数: 3.0\n",
      "中位数: 3.0\n",
      "标准差: 1.4142135623730951\n",
      "方差: 2.0\n",
      "总和: 15\n",
      "最小值: 1\n",
      "最大值: 5\n"
     ]
    }
   ],
   "source": [
    "data = np.array([1, 2, 3, 4, 5])\n",
    "mean_value = np.mean(data)\n",
    "print(\"均值:\", mean_value)\n",
    "median_value = np.median(data)\n",
    "print(\"中位数:\", median_value)\n",
    "median_value = np.median(data)\n",
    "print(\"中位数:\", median_value)\n",
    "std_dev = np.std(data)\n",
    "print(\"标准差:\", std_dev)\n",
    "variance = np.var(data)\n",
    "print(\"方差:\", variance)\n",
    "total_sum = np.sum(data)\n",
    "print(\"总和:\", total_sum)\n",
    "\n",
    "min_value = np.min(data)\n",
    "max_value = np.max(data)\n",
    "print(\"最小值:\", min_value)\n",
    "print(\"最大值:\", max_value)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "5dc1e979-0f6d-4279-ab88-9d37e7eda85f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "协方差: -2.5\n",
      "相关系数: -0.9999999999999999\n"
     ]
    }
   ],
   "source": [
    "data1 = np.array([1, 2, 3, 4, 5])\n",
    "data2 = np.array([5, 4, 3, 2, 1])\n",
    "covariance = np.cov(data1, data2)[0, 1]\n",
    "print(\"协方差:\", covariance)\n",
    "correlation = np.corrcoef(data1, data2)[0, 1]\n",
    "print(\"相关系数:\", correlation)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "8f7726d0-59f4-4583-97d6-5307e0dacdb8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 绘制数据的直方图\n",
    "plt.hist(data, bins=10)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "faa614e0-f6b3-4c90-9cf1-3a1385d9f374",
   "metadata": {},
   "source": [
    "# 案例一：正态分布的概率密度函数可视化"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "034ddb3b-1357-4fa3-9dc4-683be64ed7d0",
   "metadata": {},
   "source": [
    "## 背景：\n",
    "正态分布是概率论和统计学中最常用的分布之一。本例将通过numpy生成正态分布的随机数，并使用matplotlib绘制其概率密度函数（PDF）的图形。\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9e581ea3-fb48-48ec-9f80-8c6dc3cfde0e",
   "metadata": {},
   "source": [
    "### 导入库"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "c3779acc-33d3-4332-9bdb-5b00bb33323a",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.stats import norm  # 引入正态分布的概率密度函数"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d586803b-8459-4b7e-9273-9afe84c7af12",
   "metadata": {},
   "source": [
    "### 生成数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "8713e312-0d11-40eb-942d-a4329f9a686b",
   "metadata": {},
   "outputs": [],
   "source": [
    "mu, sigma = 0, 0.1  # 均值和标准差\n",
    "data = np.random.normal(mu, sigma, 1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "134ebb22-18d9-4a1e-883c-4eb06ca33901",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([0.05102187, 0.15306561, 0.15306561, 0.20408748, 0.20408748,\n",
       "        0.30613122, 0.61226244, 0.86737179, 1.07145927, 1.93883106,\n",
       "        2.24496228, 2.50007163, 2.65313724, 3.77561837, 3.67357463,\n",
       "        4.33685894, 3.7245965 , 4.38788081, 2.65313724, 2.75518098,\n",
       "        3.11233406, 2.5510935 , 2.5510935 , 1.5306561 , 1.12248114,\n",
       "        0.61226244, 0.56124057, 0.35715309, 0.15306561, 0.20408748]),\n",
       " array([-0.31469499, -0.29509555, -0.27549611, -0.25589667, -0.23629724,\n",
       "        -0.2166978 , -0.19709836, -0.17749892, -0.15789948, -0.13830004,\n",
       "        -0.11870061, -0.09910117, -0.07950173, -0.05990229, -0.04030285,\n",
       "        -0.02070341, -0.00110397,  0.01849546,  0.0380949 ,  0.05769434,\n",
       "         0.07729378,  0.09689322,  0.11649266,  0.13609209,  0.15569153,\n",
       "         0.17529097,  0.19489041,  0.21448985,  0.23408929,  0.25368873,\n",
       "         0.27328816]),\n",
       " <BarContainer object of 30 artists>)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(data, bins=30, density=True, alpha=0.6, color='g')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "1132fbe0-3190-4acc-966a-8e6251ad3d37",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1bda33da1a0>]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xmin, xmax = plt.xlim()\n",
    "x = np.linspace(xmin, xmax, 100)\n",
    "p = norm.pdf(x, mu, sigma)\n",
    "plt.plot(x, p, 'k', linewidth=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "0288fbb7-d167-41d7-9c4d-a0abee557230",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.title('Normal Distribution PDF')\n",
    "plt.xlabel('Value')\n",
    "plt.ylabel('Probability Density')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5df69f27-6242-4c1f-a8b9-bb8a3cc9f93a",
   "metadata": {},
   "source": [
    "# 案例二：傅里叶变换及其频谱分析"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7f5df3ce-3482-4b96-9710-dfc82aa11646",
   "metadata": {},
   "source": [
    "## 背景：\n",
    "傅里叶变换是一种在信号处理中广泛应用的数学工具，它可以将时域信号转换为频域信号。本例将通过numpy生成一个复合正弦波信号，并使用matplotlib展示其时域波形和频谱分析结果。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "15246581-7c77-41f8-a367-dd64d9885163",
   "metadata": {},
   "source": [
    "### 导入库"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "735e0a98-9e53-43dc-b8da-c1ad3317f65a",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2200949f-108f-4c3f-89ee-637881f0c407",
   "metadata": {},
   "source": [
    "### 生成信号"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "a75be458-4447-4802-aad3-eb92ab673e44",
   "metadata": {},
   "outputs": [],
   "source": [
    "Fs = 1000  # 采样频率\n",
    "frequencies = [50, 120, 200]  # 信号中的频率成分\n",
    "t = np.linspace(0, 1, Fs)  # 时间向量\n",
    "signal = sum(np.sin(2 * np.pi * f * t) for f in frequencies)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "98228800-bd2d-47b6-ab38-c97df6bca078",
   "metadata": {},
   "source": [
    "### 绘制时域波形"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "64b40a08-6747-438f-9d82-870e68aa5a7d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Amplitude')"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12, 6))\n",
    "plt.subplot(2, 1, 1)\n",
    "plt.plot(t, signal)\n",
    "plt.title('Time Domain Signal')\n",
    "plt.xlabel('Time (s)')\n",
    "plt.ylabel('Amplitude')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "798cc895-ce24-4360-b912-d6b45c5f1067",
   "metadata": {},
   "source": [
    "### 进行傅里叶变换并绘制频谱"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "a45400b5-4b05-4068-a718-0e147406c6d9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Amplitude')"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fft_result = np.fft.fft(signal)\n",
    "freqs = np.fft.fftfreq(len(t), 1/Fs)\n",
    "plt.subplot(2, 1, 2)\n",
    "plt.plot(freqs[:len(freqs)//2], np.abs(fft_result[:len(fft_result)//2]))\n",
    "plt.title('Frequency Domain Spectrum')\n",
    "plt.xlabel('Frequency (Hz)')\n",
    "plt.ylabel('Amplitude')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "612f0b68-9f30-4328-b609-1d2d3295e310",
   "metadata": {},
   "source": [
    "### 设置图形属性并显示"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "18dc2ecc-28c3-44a9-bfb2-39472d3cb02b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
